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Finding the Fourth Proportional to 203,892.14, 281,043.84 and 138,460.40

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Solution

The fourth proportional to 203,892.14, 281,043.84 and 138,460.40 is: 190,853.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,892.14 : 281,043.84 = 138,460.40 : x
  2. Step 2: Convert to fraction form
    203,892.14/281,043.84 = 138,460.40/x
  3. Step 3: Cross multiply
    203,892.14x = 281,043.84 × 138,460.40
  4. Step 4: Simplify right side
    203,892.14x = 38,913,442,503.94
  5. Step 5: Solve for x
    x = 38,913,442,503.94/203,892.14
  6. Step 6: Final answer
    x = 190,853.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.